Problems of Number Theory in Mathematical Competitions

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World Scientific, 2009 - Mathematics - 106 pages
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Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.
 

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Contents

II
1
III
6
IV
14
V
23
VI
31
VII
41
VIII
53
IX
60
X
69
XI
77
XIII
94
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